Multi-pulse homoclinic orbits and chaotic dynamics for an axially moving viscoelastic beam
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Publication:398023
DOI10.1007/s00419-012-0709-2zbMath1293.74235OpenAlexW2151499162MaRDI QIDQ398023
Publication date: 12 August 2014
Published in: Archive of Applied Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00419-012-0709-2
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Chaotic behavior of solutions to dynamical problems in solid mechanics (74H65) Linear constitutive equations for materials with memory (74D05)
Related Items (2)
Almost sure stochastic stability of a viscoelastic double-beam system ⋮ Effects of rotary inertia on sub- and super-critical free vibration of an axially moving beam
Cites Work
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- Global bifurcations in parametrically excited systems with zero-to-one internal resonance
- Bifurcation and chaos of an axially accelerating viscoelastic beam
- Chaos near resonance
- \(N\)-pulse homoclinic orbits in perturbations of resonant Hamiltonian systems
- Multi-pulse jumping orbits and homoclinic trees in a modal truncation of the damped-forced nonlinear Schrödinger equation
- Steady-state response of axially moving viscoelastic beams with pulsating speed: comparison of two nonlinear models
- Global bifurcations and chaotic dynamics in nonlinear nonplanar oscillations of a parametrically excited cantilever beam
- Computation of normal forms for high dimensional non-linear systems and application to non-planar non-linear oscillations of a cantilever beam
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